Given numbers are 420,478,312,357

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 420,478,312,357 is 44367960.

Find LCM of 420,478,312,357 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 7 x 5 x 239 x 26 x 17 = 44367960

Therefore, the lowest common multiple of 420,478,312,357 is 44367960.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

420 x 478 x 312 x 357 = 22361451840

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

478 : 1, 2, 239, 478

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,478,312,357, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

478:2x 239

312:2x 2x 2x 3x 13

357:3x 7x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 7 = 504

Therefore, the value for common factors is 504.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 22361451840/(1x504)

LCM = 22361451840/504

LCM = 44367960

Thus, we can understand that the LCM of 420,478,312,357 is 44367960.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 204, 421, 148, 799
• LCM of 815, 868, 336, 915
• LCM of 382, 230, 870, 196
• LCM of 932, 105, 620, 448
• LCM of 703, 985, 576, 174

1. What is the LCM of 420, 478, 312, 357?

Answer: LCM of 420, 478, 312, 357 is 44367960.

2. How to calculate the LCM of 420, 478, 312, 357?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 420, 478, 312, 357.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.